An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
Some of our experiences of discovering and using triangle numbers in a range of contexts.
In this article, Alan Parr shares his experiences of the motivating effect sport can have on the learning of mathematics.
Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.
Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worse the firm belief that 1 = 0. This article discusses. . . .
An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.
Need some help getting started with solving and thinking about rich tasks? Read on for some friendly advice.
An article introducing the ideas of differentiation.
How high can a high jumper jump? How can a high jumper jump higher without jumping higher? Read on...
This article stems from research on the teaching of proof and offers guidance on how to move learners from focussing on experimental arguments to mathematical arguments and deductive reasoning.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
In this article, Rachel Melrose describes what happens when she mixed mathematics with art.
Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students.
How do decisions about scoring affect who wins a combined event such as the decathlon?
The Four Colour Conjecture was first stated just over 150 years ago, and finally proved conclusively in 1976. It is an outstanding example of how old ideas can be combined with new discoveries. prove. . . .
Cartesian Coordinates are not the only way!
This article extends and investigates the ideas in the problem "Stretching Fractions".
Understanding statistics about testing for cancer or the chance that two babies in a family could die of SIDS is a crucial skill for ALL students.
This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the. . . .
Moving from the particular to the general, then revisiting the particular in that light, and so generalising further.
Simon Singh describes PKC, its origins, and why the science of code making and breaking is such a secret occupation.
This article discusses the findings of the 1995 TIMMS study how to use this information to close the performance gap that exists between nations.
This article gives a brief history of the development of Geometry.
Jennifer Piggott and Steve Hewson write about an area of teaching and learning mathematics that has been engaging their interest recently. As they explain, the word ‘trick’ can be applied to. . . .
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
The third of three articles on the History of Trigonometry.
If you think that mathematical proof is really clearcut and universal then you should read this article.
This is the first of a two part series of articles on the history of Algebra from about 2000 BCE to about 1000 CE.